105 citations · 338 across the 17 of their papers we have counts for
22 papers
Manifold diagrams and tame tangles
Christoph Dorn, Christopher L. Douglas
Diagrammatic notation has become a ubiquitous computational tool; early examples include Penrose's graphical notation for tensor calculus, Feynman's diagrams for perturbative quant…
Framed combinatorial topology
Christoph Dorn, Christopher L. Douglas
Framed combinatorial topology is a novel theory describing combinatorial phenomena arising at the intersection of stratified topology, singularity theory, and higher algebra. The t…
Conformal nets V: dualizability
Arthur Bartels, Christopher L. Douglas, André Henriques
We prove that finite-index conformal nets are fully dualizable objects in the 3-category of conformal nets. Therefore, assuming the cobordism hypothesis applies, there exists a loc…
Fusion 2-categories and a state-sum invariant for 4-manifolds
Christopher L. Douglas, David J. Reutter
We introduce semisimple 2-categories, fusion 2-categories, and spherical fusion 2-categories. For each spherical fusion 2-category, we construct a state-sum invariant of oriented s…
Conformal nets IV: The 3-category
Arthur Bartels, Christopher L. Douglas, André Henriques
Conformal nets are a mathematical model for conformal field theory, and defects between conformal nets are a model for an interaction or phase transition between two conformal fiel…
Modular categories as representations of the 3-dimensional bordism 2-category
Bruce Bartlett, Christopher L. Douglas, Christopher J. Schommer-Pries +1
We show that once-extended anomalous 3-dimensional topological quantum field theories valued in the 2-category of k-linear categories are in canonical bijection with modular tensor…